Coupled Torsional-flexural Vibration of a Shaft in a Geared System : 4th Report, Analysis of a Complicated Gear Train System

Abstract

It is recognized nowadays that flexural and torsional vibrations couple together in a gear train system from this point of view though they have some difficulties in practical use. Among many general analytical methods of vibration system, the structural dynamics modification method seems to be appropriate to apply to a gear train system as it is possible to use known modal parameters of each shafts. One of the problems of this method in the application to a gear train system is how to appropriately deal the mesh of the gear teeth in the analysis since the practical utility of this method greatly depends on it. Here, in this paper, a practical analytic method of a complicated gear train system is presented and some new vibrational properties of a gear train system is clarified through it.